Complex Transient Oscillations in the Belousov-Zhabotinskii Reaction in a Batch Reactor

Strizhak, P. E.; Kawczyński, Andrzej L.

doi:10.1021/j100027a024

Cited by 54 publications

(51 citation statements)

References 3 publications

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“…In this system n = 1, so we can have only one small amplitude oscillation between two larger amplitude oscillations. Such behavior of periodic mixed mode oscillations can be explained by considering the models 42,43 that qualitatively describe regularities observed in transients as well as asymptotic mixed mode oscillations in the BZ reaction. The variables can be treated as autocatalytic reagent i.e., ].…”

Section: Resultsmentioning

confidence: 99%

Catalyst, Co-ion and the media effect on the oscillatory behavior of resorcinol in the BZ reaction

Ganaie¹,

Peerzada²

2009

J. Braz. Chem. Soc.

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O estudo diz respeito ao comportamento oscilatório de resorcinol como substrato orgânico na reação de Belousov-Zhabotinsky (BZ) em presença de diferentes íons metálicos como catalisadores no meio aquoso ácido. ). On varying the aqueous acid media, it is observed that protonated species with respect to organic substrate (resorcinol) is more easily formed in aqueous sulfuric acid, owing to which maximum number of oscillations are observed in this medium. Moreover, the effect of different anions like acetate, carbonate and sulfate associated with the same metal ion (Mn 2+ ) as catalyst on the oscillatory behavior of the reaction system was also studied. Mixed mode oscillations are seen while changing concentration of aqueous sulfuric acid medium.

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Section: Resultsmentioning

confidence: 99%

Catalyst, Co-ion and the media effect on the oscillatory behavior of resorcinol in the BZ reaction

Ganaie¹,

Peerzada²

2009

J. Braz. Chem. Soc.

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“…31,32 It is not excluded that mixed-mode oscillations observed in various experiments 3-12 may be explained using our simple model. Particularly, substituting the parameter q by a variable whose dynamics does not depend on v, u, or p and changes monotonically in time describes transient mixed modes observed for the BZ reaction in batch 19 and in a CSTR. 20 Moreover, our results have been helpful in successful experimental searches of LS i s j patterns in the BZ system in CSTR.…”

Section: Discussionmentioning

confidence: 99%

“…Recently, we have introduced a simple three-variable model that describes LS i mixed-mode oscillations in chemical systems. 13,[18][19][20] We have illustrated that adding a fourth variable, which dynamics is not affected by remaining variables, describes LS i transient patterns observed in the BZ reaction in batch 19 and CSTR. 20 In the present paper we show that the three-variable model is also capable to describe the LS i s j patterns.…”

Section: Introductionmentioning

confidence: 92%

Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system

Kawczyński

Khavrus

Strizhak

2000

Chaos: An Interdisciplinary Journal of Nonlinear Science

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A detailed study of a generic model exhibiting new type of mixed-mode oscillations is presented. Period doubling and various period adding sequences of bifurcations are observed. New type of a family of 1D (one-dimensional) return maps is found. The maps are discontinuous at three points and consist of four branches. They are not invertible. The model describes in a qualitative way mixed-mode oscillations with two types of small amplitude oscillations at local maxima and local minima of large amplitude oscillations, which have been observed recently in the Belousov-Zhabotinsky system. (c) 2000 American Institute of Physics.

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“…The numerous dynamic states such as simple, mixed−mode and chaotic oscillations obtained in BZ reaction system under various experimental conditions [18][19][20][21], can be obtained by numerical simulations using different models. They all have an important role in the modeling of a BZ reaction [14,[22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Short Overview Of the Belousov − Zhabotinsky Reactionmentioning

confidence: 99%

Current rates and reaction rates in the Stoichiometric Network Analysis (SNA)

et al. 2014

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Abstract:In stoichiometric network analysis (SNA) the instability condition is calculated by the current rates. Recently, we have shown that in the final result the current rates can be substituted by reaction rates, which is a more appropriate value for the examination of instability from experimental point of view. Here, we elaborate the problem of whether the current rates are necessary parameters in the calculation, with the aim of obtaining the region of instability. All calculations are performed on a model for Belousov-Zhabotinsky (BZ) reaction, which has not been examined by SNA.

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Complex Transient Oscillations in the Belousov-Zhabotinskii Reaction in a Batch Reactor

Cited by 54 publications

References 3 publications

Catalyst, Co-ion and the media effect on the oscillatory behavior of resorcinol in the BZ reaction

Catalyst, Co-ion and the media effect on the oscillatory behavior of resorcinol in the BZ reaction

Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system

Current rates and reaction rates in the Stoichiometric Network Analysis (SNA)

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